What figure is a dilation of Figure A by a factor of 12 ?
1 answer:
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The linear equation that represents the <u>number of tiles in figure x</u> is given by:
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A linear equation has the format:
In which:
- m is the slope, that is, the rate of change.
- b is the y-intercept, that is, the value of y when x = 0.
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- Figure 0 has 5 tiles, that is, when
, thus
- Seven new tiles in each figure, that is, a rate of change of 7, thus
The number of tiles in figure x is given by:
A similar problem is given at brainly.com/question/16302622
Answer:
2 solutions
Step-by-step explanation:
I like to use a graphing calculator to find solutions for equations like these. The two solutions are ...
- x = 1
- x = 4
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To solve this algebraically, it is convenient to subtract 2x-7 from both sides of the equation:
3x(x -4) +5 -x -(2x -7) = 0
3x^2 -12x +5 -x -2x +7 = 0 . . . . . eliminate parentheses
3x^2 -15x +12 = 0 . . . . . . . . . . . . collect terms
3(x -1)(x -4) = 0 . . . . . . . . . . . . . . . factor
The values of x that make these factors zero are x=1 and x=4. These are the solutions to the equation. There are two solutions.
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<em>Alternate method</em>
Once you get to the quadratic form, you can find the number of solutions without actually finding the solutions. The discriminant is ...
d = b^2 -4ac . . . . where a, b, c are the coefficients in the form ax^2+bx+c
d = (-15)^2 -4(3)(12) = 225 -144 = 81
This positive value means the equation has 2 real solutions.
